[UmpTTS43]

Originally Posted by Publius

Wrong in all three cases.

What you said is true if the runner is FORCED to advance when the batter becomes a B/R, but R2 isn't forced in any of those situations.

R1, R3, one out. Improper batter B7 receives a base on balls, on which ball 4 is a wild pitch. R1 advances to 2nd and R3 advances to the plate. Defense makes a proper appeal. B7 is out, R1 returns, R3 scores.

R1, R3, one out. Improper batter B7 swings and misses at an uncaught third strike, upon which R1 advances to 2nd and R3 advances to the plate. Defense makes a proper appeal. B7 is out, R1 remains at 2nd, R3 scores.

Being forced has nothing to do whether a runner has to return or not. If a runner advances when the batter becomes a runner, they must return. The only time advancements stand is when they are made while the illegal player is a batter. The fact that a pitch is a passed ball is irrelevant since that pitch makes the batter a batter runner.